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805+ (Hard)|   Combinations|      
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Bunuel
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A purse contains 3 quarters, 3 dimes and 2 nickels. How many different 26 Oct 2021, 02:00
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Difficulty:

95% (hard)

Question Stats:

50% (02:36) correct 50% (02:46) wrong based on 262 sessions

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A purse contains 3 quarters, 3 dimes and 2 nickels. How many different possible sets of 4 coins could be selected from the purse?

A. 6
B. 8
C. 9
D. 10
E. 18
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D
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PoojaSanghvi
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A purse contains 3 quarters, 3 dimes and 2 nickels. How many different 26 Oct 2021, 02:31
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{QQQD,
QQQN,

QQDD, QQNN, QQDN,

QDDD, QDDN, QDNN,

DDDN, DDNN}

10
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Archit3110
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A purse contains 3 quarters, 3 dimes and 2 nickels. How many different 26 Oct 2021, 08:48
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we can solve by making all possible cases of the given set of coins 3 quarters, 3 dimes and 2 nickels
cases for quarters & dimes
3c3*3c1 ; 3c2*3c2; 3c1*3c3 ; 3 cases
cases for quarters & nickels
3c3*2c1 ; 3c2*2c2 ; 2 cases
cases for dimes & nickels
3c3*2c1 ; 3c2*2c2 : 2 cases
cases for quarters , dimes & nickels
3c2*3c1*2c1 ; 3c1*3c2*2c1 ; 3c1*3c1*2c2 ; 3 cases
total cases= 3+2+2+3 ; 10
option D


Bunuel
A purse contains 3 quarters, 3 dimes and 2 nickels. How many different possible sets of 4 coins could be selected from the purse?

A. 6
B. 8
C. 9
D. 10
E. 18
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A purse contains 3 quarters, 3 dimes and 2 nickels. How many different 01 Apr 2024, 00:12
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why cant it be 8C4=70
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Bunuel
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A purse contains 3 quarters, 3 dimes and 2 nickels. How many different 01 Apr 2024, 00:19
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purvibagmar
A purse contains 3 quarters, 3 dimes and 2 nickels. How many different possible sets of 4 coins could be selected from the purse?

A. 6
B. 8
C. 9
D. 10
E. 18

why cant it be 8C4=70
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The combination formula 8C4 = 70 calculates 4-coin groups from 8 coins, assuming all coins are distinguishable. However, in this question, quarters, dimes, and nickels are considered indistinguishable from each other. For example, (Q1, Q2, D1, D2) is the same group as (Q1, Q3, D1, D2). 
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A purse contains 3 quarters, 3 dimes and 2 nickels. How many different 19 Sep 2024, 18:06
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We have 4 coins to select.
3Q, 3D and 2N

1. Say we select all 3Q:

QQQD
QQQN
=2 ways

2. Say we select 2Q:
QQDD
QQNN
QQDN
=3 ways

3. Say we select 1Q:
QDDD
QDDN
QDNN
=3 ways

4. Say we select 0Q:
DDDN
DDNN
=2 ways

Total=3Q+2Q+1Q+0Q
=2+3+3+2
=10 ways
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A purse contains 3 quarters, 3 dimes and 2 nickels. How many different 22 Apr 2025, 07:55
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here since the numbers are small we can do it manually, but how to solve this in a more traditional approach because I want to be prepared incase numbers are huge?
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